Question: Suppose that you are given two sets of samples with the following information: Sample 1 Sample 2 n = 20 n = 25 x =

Suppose that you are given two sets of samples with the following information: Sample 1 Sample 2 n = 20 n = 25 x = 20 y=25 Sxx=80 x=23 y = 28 Sxx=100 Sxy 120 Sxy = 150 Syy 200 Syy = 250

(a) Estimate a linear regression equation for each sample separately and for the pooled sample.

(b) State the assumptions under which estimation of the pooled regression is valid.

(c) Explain how you will test the validity of these assumptions using the data provided.

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